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Prove that 2 + 3 5 is an irrational number , given that 5 is an irrational number . √ 5 is an irrational number and this can be proved by the method of contradicion. In this method, we first assume √ 5 to be rational, then we will show that it leads to contradiction which hence proves √ 5 to be irrational . Prove that √3 + √ 5 is irrational - Irrational numbers are those real numbers that cannot be represented in the form of a ratio. In other words, those real numbers that are not rational numbers are known as irrational numbers.√3 + √ 5 is irrational .
